Consider the geometric sequence . Determine the common ratio r by dividing the third term by the second term. The common ratio is ________.
Answer & Analysis
Analysis
Question Analysis
This question evaluates the student's ability to find the common ratio in a geometric sequence by dividing a term by its preceding term.
Key Concept Explanation
The common ratio in a geometric sequence is the fixed constant ratio between each term (starting from the second term) and its preceding term.
Step-by-step Solution
1. Identify the second and third terms of the sequence: and .
2. Calculate the common ratio using the formula :
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